Cooling and heating regions of Joule-Thomson expansion for AdS black holes: Einstein-Maxwell-Power-Yang-Mills and Kerr Sen black holes

TL;DR

This paper investigates the Joule-Thomson expansion process for AdS black holes, analyzing how parameters affect cooling/heating behavior, inversion curves, and temperature ratios, with detailed results for Einstein-Maxwell-Power-Yang-Mills and Kerr-Sen black holes.

Contribution

It provides the first detailed analysis of Joule-Thomson expansion parameters and temperature ratios for these specific black hole types, revealing parameter-dependent behaviors and robustness of temperature ratios.

Findings

Isenthalpic curves can show cooling or heating behavior for Kerr-Sen black holes.

The ratio of minimum inversion temperature to critical temperature approaches 1/2 for certain parameters.

Parameter values like a=0.00951 and b=0.00475 yield ratios close to 1/2, indicating robustness.

Abstract

In this paper, we study the Joule-Thomson Expansion (JTE) process for two types of black holes: AdS-Einstein-Maxwell-Power-Yang-Mills (AEMPYM) and AdS-Kerr-Sen (AKS). Our study focuses on understanding how various parameters influence the Joule-Thomson Coefficient (JTC), the inversion curve, and the ratio of minimum inversion temperature to critical temperature. For the AKS black hole, we observe that the isenthalpic curves can exhibit either cooling or heating behavior. This behavior is determined by the inversion curve, which is affected by the black hole's mass and specific parameters such as $b$ (parameter signifies the ionic charge of the black hole) and $a$ (rotation parameter). In the case of the AEMPYM black hole, our findings reveal that the ratio of minimum inversion temperature to critical temperature approaches a specific value as Maxwell's charge increases. This ratio remains constant for certain parameter values, while it varies for others. Specifically, when the parameter $q$ (real positive parameter of AEMPYM black hole) is greater than 1, the ratio is almost equal to 1/2 as Maxwell's charge (C) increases. When q equals 1/2, the ratio is exactly 1/2 for all values of (C). For values of (q) between 1/2 and 1, the ratio is close to 1/2, and for values of (q) between 0 and 1/2, the ratio decreases, moving away from 1/2. For the AKS black hole, we find that specific parameter values, such as (a = 0.00951) and (b = 0.00475 ), yield a ratio of minimum inversion temperature to a critical temperature that is approximately 1/2. This consistency across different parameter values highlights the robustness of our findings. Finally, we compare our results with those reported in the existing literature, providing a comprehensive summary in detailed tables.